is 2 2797339 - 1
has 842083 decimal digits
takes 0.216 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.622267.1642 %2880002264238901.41217.5004 %12.034369.6270 %
Target2630.570565.0794 %1500013000000.00951.7894 %0.580165.7042 %
Difference+4+10.0517+2.0848 %+273000+225123890+1.4025+5.7110%+11.4542+3.9228 %

Known prime factors (3 factors, 177.7 bits, 0.00635284% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2797339504695902391135.5559021
3 × 31 × 97
-31973.195e-93.874e-67.066e-6
2797339441240064455307511755.2927886782125
32 × 53 × 47 × 149159
2015-01-171251491590.00290.00090.0017
27973391407568299312734060604395832786.86325159058292769200669
3 × 192 × 271 × 1097 × 1871 × 41765359
2023-01-211871417653599,178,2780.25500.4760

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2023-01-21USAFSSUSAFSACS28800022642389022786.8631.55610.689%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2015-01-17TJAOIManual testing255256*
55.292
17
0.001


ECM factoring results:
Total ECM effort:0.305 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.305


Lucas-Lehmer results:
No L-L results for M2797339


PRP results:
dateuseridcompidcofactorsres64
2017-10-21Oliver KruseGTX-0
50469590239
44124006445530751
DD3D640A3C0AE7F4
2017-12-06kkmrkkblmbrbkc4.xlarge
50469590239
44124006445530751
DD3D640A3C0AE7F4
2023-01-22LordJuliusWhitebox
50469590239
44124006445530751
140756829931273406060439583
DD3D640A3C0AE7F4


CERT results:
dateuseridcompid
2023-01-22James HeinrichXXL


P-1 factor-bounds graph:
B1 = 288000, B2 = 226423890 (P-1 stage 2)
B1 = 288000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00